Question

Solve the system of equations algebraically. Verify your answer using the graph. y = 4x – 5 y = –3

Answer 1

(1/2, -3)

Explanation:

We have the following equations:

y = 4 * x - 5

y = –3

To solve algebraically, we must replace one equation in another, and we are left with:

-3 = 4 * x - 5

4 * x = 5 - 3

x = 2/4

x = 1/2

Therefore the solution is (1/2, -3)

Now, when we graph both equations, the solution would be the intercept between both graphs, attached corresponding image, the solution would be the same (1/2, -3)